Write quadratic equation whose roots are 1 and -3 and whose leading coefficient is 4
2 answers:
Answer:
4x^2 + 8x - 12 = 0
Step-by-step explanation:
A quadratic equation with roots a and b has the equation (x - a)(x - b) = 0.
You roots are 1 and -3.
The equation is
(x - 1)(x - (3)) = 0
(x - 1)(x + 3) = 0
We can multiply it out.
x^2 + 3x - x - 3 = 0
x^2 + 2x - 3 = 0
Since we need the leading coefficient to be 4, we multiply both sides by 4.
4x^2 + 8x - 12 = 0
Answer:
4x^2 + 8x - 12 = 0.
Step-by-step explanation:
We first write it in factor form.
4(x - 1)(x + 3) = 0
4(x^2 + 2x - 3) = 0
4x^2 + 8x - 12 = 0 (answer).
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